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Finding the Fourth Proportional to 1,987.82, 2,968.34 and 1,623.32

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Solution

The fourth proportional to 1,987.82, 2,968.34 and 1,623.32 is: 2,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.82 : 2,968.34 = 1,623.32 : x
  2. Step 2: Convert to fraction form
    1,987.82/2,968.34 = 1,623.32/x
  3. Step 3: Cross multiply
    1,987.82x = 2,968.34 × 1,623.32
  4. Step 4: Simplify right side
    1,987.82x = 4,818,565.69
  5. Step 5: Solve for x
    x = 4,818,565.69/1,987.82
  6. Step 6: Final answer
    x = 2,424.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.